Remark
The quick answer is C does not represent a function. It has two y values for x = 2. These two points are (2,1) and (2,3). That eliminates C. No x can have 2 y values and be called a function. A function can have many x vales for a single y and still be a function.
A has all different x values, so it could be classed as a function. There are no values where x has more than 1 y value.
B also has all different x values. It too is a function.
Answer
A and B are both functions. C is not.
D <<<<< Answer
Answer: -11y - 35x
Step-by-step explanation:
This problem utilizes the Distributive Property of Multiplication. It states that: a(x + y) = ax + ay.
Thus, utilizing this property (distributing -7), change the equation into:
3y - 35x - 14y
Then, simply combine like terms to get:
-11y - 35x
Hope it helps :) and let me know if you want me to elaborate.
Answer:
Option C) The first equation is y= 2/3x-4 when written in slope-intercept form .
Step-by-step explanation:
We have

The first equation is in Standard form .
Convert to slope Intercept form .
Isolate the Variable y .

Divide by 3 both sides .


The second equation is in slope Intercept form .
Convert to standard form
Multiply by 5 both sides to remove the fraction .


<h3><u>Verify each statement :- </u></h3>
<h3>• case A) Both equations are in slope-intercept form.</h3>
- Because only the second equation is in slope -intercept form
<h3>• case B) Neither equation is in slope-intercept form .</h3>
- Because, the second equation is in slope -intercept form
<h3>• case C) The first equation is y= 2/3x-4 when written in slope-intercept form</h3>
<h3>• case D)The second equation is 3x+5y=10 when written in slope-intercept form.</h3>
- Because, the second equation is 3x+5y=10 when written in standard form .
<h2>I hope this helps you !! </h2>
We observe that a line will pass through 3 points, but to find a slope we only need two.
We see that it passes through points (assuming the scale of graph is 1 : 1)
and
.
We can use slope formula that applies for any line and produce the same slope for any two different points on the line

So the slope is -1 also it intersects y-axis at
so the general form of the linear function is

That is in your case

Hope this helps.